Problem in importing .svg files to blender
Have you tried these things? They are the most basic things you'd want to do in InkScape prior to importing to Blender:


Convert all strokes/fonts into path objects.
Delete everything that's not part of your actual art, eg. invisible boxes and unnecessary layers.
Merge your path objects with boolean as much as possible.


Edit: A nice video on the subject, that explains some quirks you might run into: https://www.youtube.com/watch?v=ctwiT8LYjVQ